I don't have those kind of tools so I'll probably just have HVAC guy do it.
There is an alternative to a full DIY install. The cost for 12K Btu unit online is around $1,700 for Mitsubishi cold climate heat pump with a high COP. Mitsubishi only sells through distributors and warranty claims are only handled by dealers. Some dealers do sell on line on Ebay but beyond replacing a DOA units you are potentially in trouble if it stops running after 6 months. Local dealers may service it but you are most likely paying it outside the warranty as they didn't sell the unit. If you go with a local dealer they will probably charge you $2,000 bucks to install not including running the electrical service. Effectively they are making enough money that on the rare chance that an outdoor unit breaks down they can just swap in a new one. The vast majority of the install is basic DIY skills, so the option is call around and find an HVAC guy that will do the tricky stuff for you and do the rest including buying the unit. Ideally he should be a dealer but talk to any tech and they will tell you that the vast majority of service calls are not covered by the warranty. The usual service call is physical abuse of the outdoor unit or tubing. Think kids with basketball or someone backing into it. If the outdoor unit case is damaged its likely the tech will replace the entire unit and charge you a premium. If the tubing is damaged there is chance that it just lost its charge and you may luck out with the tech recharging it. Its rare the indoor units have issues except that in dusty homes with pets they can get plugged up and in some cases the coils can get mouldy.
Mounting the indoor unit requires locating studs and screwing a mounting plate to the wall. The unit than hangs off the mounting plate and held in place by couple of screws. You need to drill a hole though the wall to the outside to run the control wires and the two copper refrigerant tubes. You can buy a wall sleeve to line the hole from supplyhouse.com (as well as other specialty pieces). The tubing and control cable is normally run down the siding in vinyl "gutter"that snaps over a faceplate that is mounted on the wall. The outdoor unit has to be hung off wall brackets far enough off the ground that snow can not cover it. Ideally you want the unit on the lee side of the building so snow doesn't blow in the coils and make sure that nothing drips down on the unit. (I have small pitched roof with overhangs over mine to keep snow and any drips off mine). The power feed is 240 volts AC, just install a dual pole breaker and run standard 12/2 romex over to the local disconnect box which is available at Home Depot or Lowes, its just a box with unfused switch to kill the power to the minisplit for service and has to be within sight of the minisplit. The minisplit bolts to the wall brackets via vibration isolators. The wiring is easy, 12/2 to the junction box on the outdoor unit and a smaller gauge 3 conductor wire goes between the outdoor unit and the indoor unit. You also need to install a plastic drain line from the indoor unit to the ground outdoors but hold off as its easier to bundle it in with the copper tubing.
At this point call the tech and hand him the tubing or have him supply it. You can buy preflared tubing kits but most techs cut off the preflares and put their own on. They then will pump the unit down with a vacuum pump check for leaks and then flush the lines with an inert gas. They will then pump the unit down again and let it set for awhile to see if there are any leaks, its supposed to be overnight but most techs are on the clock so they don't wait very long. They then open a valve in the unit and the gas stored in the outside unit flows into the indoor unit from the outdoor unit. From there they turn the unit on and sees if it gets cold. Unless the tech is really dogging it, it takes them less than two hours. I think I paid $200 for the last one I did. Including the tubing and miscellaneous bits my all in was around $2,000 and the best price I could get installed was $3,700. Knock on wood one of mine (an AC only unit) has run for 10 years and the other cold source unit has been running 5 years). You do want to be careful as there are some fly by night outfits that skip steps and take their chances on purging.
Do note, the Mitsubishi and Fujisu cold climate units have a very good reputation. IMO the Daikin's are a step lower. I went with a known brand Mitsubishi , it cost a few more bucks but their reputations in this climate are very good.
Another fairly new option is air to water heat pump. It looks like an minispliut but heat or cools water (or glycol) so the refrigerant stays outside in the outdoor unit. No need to bring in a tech to install as its like refrigerator, already charged and ready to go. Its fairly new to the US. This company has been testing different brands for a couple of years and has this 24K unit available.
http://www.americansolartechnics.com/products/space-heat-pumps/ It could be used to run low temperature baseboards and for AC would need an air handler.