Val.J

Thank you so much once again for the comment.
I don`t really intend to do much gaming on the projector, I`m buying it just for movies (i do music for films and I wanted to get a projector as a dedicated movie display). I was, however, curious how it would work for gaming. I am indeed getting a 27` monitor (1080p) which is also why my budget is lower. I know a 1080p projector and a 1440p monitor would be ideal, but the price difference is huuuuge.
The only way I could fit both things in my budget would be if I get used projector (i wouldn`t get a second hand monitor though). Do you think that its a bad idea, especially given the lamp life etc ?

Hmm, I'm not an expert in projectors but I'll try my best XD
First thing, budget. I assumed you are willing to pay around $1000 Not too cheap also not too expensive for a projector.
Next thing is Projector technology. With $1000 budget, you are good to go with a decent DLP projectors. For LCD projectors, they tend to be more expensive but usually better than DLP, $1300+ for 1080p 2D and $1500+ for 1080p 3D.
Brand : BenQ, Epson, Optoma, Sony, Panasonic, etc. There are so many out there to choose. You might want to check the stores in your area first. What they have in their stock.
Connectivity : Mostly, HDMI. Some of them do have DVI. If you are watching movie from BD-player or PS3, you are good to go. ;)
Resolution : I'll go with 1080p for sure. Don't want to feel like sitting in classroom and look at super hugh low res projector. There are 2k and 4k projectors as well. ($12,000+)
Distance from projector to wall : Use this projection calculator to calculate the distance and how to setup your projector. It varies on each model because they have different thrown distance.
Projector screen : This one you might have to do some research. It depends on you setup + what kind of experience you want to have. Some give you brighter image, some give you sharper image :D
Short thrown vs normal : Short thrown projector can sit closer to screen/wall than normal one. Usually a better choice for a small room.
After doing some research, these BenQ projectors look pretty good.They are listed on top 10 most popular projectors on http://www.projectorcentral.com
Link to NCIX : BenQ W1070 Home Theater DLP Projector 3D Ready 1080p and BenQ W1080ST Home Theater Short Throw Projector 3D Ready 1080p
Link to Review : BenQ W1070 Home Theater DLP Projector 3D Ready 1080p review and BenQ W1080ST Home Theater Short Throw Projector 3D Ready 1080p review
Another choice would be Optoma HD25. People usually compared it to BenQ W1070 and W1080ST.
Link to Review : Benq W1070 vs Optoma HD25
Link to Amazon : Optoma HD25, HD (1080p), 2000 ANSI Lumens, 3D-Home Theater Projector (White)
They are all 1080p and 3D ready projector. Cost around $1000 which is pretty good in my opinion. Non of them include 3D glasses so be sure to grab one if you want to watch 3D movies too :D
Sorry for my English in advance :D