As long as you are able to get it nice and dark in there, there's a big selection of 720p resolution LED projectors around $350-450 or lamp-based around $450-550.
If you need native 1080p you'll be looking at $700-750 for lamp-based (where the w1070/w1080 comes highly recommended) or $1200-1400 for LED.
If you are okay with more visible pixels and likely some "screendoor" effect, there are lower resolution and dimmer choices that can be found closer to $200-300, but it's probably safest to stick to the slightly brighter and higher resolution options if at all possible.
Lamp-based will have a bit more placement flexibility because they'll have a small amount if optical zoom that helps a lot if you'll be ceiling-mounting. Replacement lamps can be expensive at anywhere from $90-250, but they last for years (many of the suggested lamp-based DLP projectors will last roughly 5years before you need a new lamp) toss $2 into a jar every week and you'll be good way ahead of time.
LED-based will tend to run a little louder (except the LG's and a couple other larger cased units) and will be about as loud as a gaming computer or hot laptop. Not distracting during parts with sound, but noticeable during silent portions to the extent that some may find it to be too much. If you're already running a fan, heat, AC or any other noisy appliances nearby, the projector's noise will be drowned out easily enough.
For a quick opinion, I really like my Aaxa P300 ($400 720p LED DLP) with a minimum of adjusting it puts out a very nice picture, it's small size and weight works well on a tripod and its contrast is very impressive for its price. There are, however, brighter options around the same price as well as a couple slightly cheaper units now available around $350.. so you'll likely be served better by a slightly better performing but less portable device.
Also, I second what Mik James said; to give good, accurate advice we'll need to know what sort of room and light situations you're working with as well as screen-size (diagonal inches as well as aspect ratio.. 9:16, 4:3, 2.39) and if you're needing to stay inside a certain throw distance and budget.
For the record, if you can afford $750 and fit a w1070, you'll be getting what's often said to be (with good reason) the best picture you'll find under $2000. To beat the w1070, you'll have to spend almost 3X as much! It's the champion of bang-for-buck.
BUT you can certainly spend a lot less for a lower res, less bright and accurate and less contrast-y picture that will still be a far cry from "trash".