If you want to know if a projector is for you in the first place could I recommend firstly looking at the second hand market on sites like CEX or similar in your area, the first projector I got from there was as a proof of concept for my setup something like https://ie.webuy.com/product-detail/?id=sprogen800600b&categoryName=projectors&superCatName=electronics&title=generic-800x600-projector-b is going to be fairly pants in terms of quality, but for a small amount of cash you can find out if you would make use of a projector, as they're not the same as just a regular screen when it comes to sound output and placement in a room... you pretty much need to dedicate a lot more space in some ways for a projector to work correctly (but then you save space in others such as cabling near your "screen")
After I tested the waters I upgraded from a 768p epson up to this guy right here https://www.amazon.co.uk/gp/product/B075ZX5M2K/ref=ppx_yo_dt_b_asin_title_o08__o00_s00?ie=UTF8&th=1 500sterling at the time of posting so around €570 and honestly it's just amazing, full 1080p output at 3.1k lumens (that said, I run the projector in a far lower eco mode which is easy on the eyes but also means the projector runs a heck of a lot quieter at a level of brightness still perfectly visible even with a lot of ambient light in the room) Epson projectors do not use DLP projection instead going for 3LCD which they claim (and I think correctly) gets rid of any colour rainbowing effects which DLP tends to cause, the only time I've had image issues was when a daft mate touched the lens with a greasy finger... that took some cleaning with a fine cloth but otherwise absolutely perfect image at 130", this projector also allows for multi projection so you can split that screen size with some options so I've used it with a smaller image on one side from my PC for watching media while giving a larger portion to my Switch or PS4 on the other side for gaming, also works okay if you connect a PC to both inputs and use it as a multi monitor setup but resolution suffers a bit in that mode so you wouldn't be doing too much text entry and editing.
One issue I've found with this projector is that it lacks a audio out though so getting sound from your device to the sound system you use will have to avoid going through the projector, it's easy enough for most devices to output sound in different ways, the ps4 has optical/controller 3.5mm jack, switch has it's headphone jack which works while docked and the PC is a PC lol.
In terms of bulb life too the epson is pretty hard to beat with a suggested lifespan of upwards of 4-5k hours in Eco mode, I have already clocked up 1148h in that and just 45h of full brightness mode (mostly before delving into the settings or by accident) but really if you have the space for it and you have the cash burning a hole in your pocket I say go for it, there really is no comparison imo for playing games on 130" of "screen" and if you're living in 1080p gaming still like I am PS4/Switch/780TI then the epson I linked here is just a perfect fit for those devices, keep in mind as well when it comes to going above that to a 4k display just how much of the content you consume is actually 4k such as UHD blu ray discs or 4k netflix, if you're still mostly enjoying regular blu ray or 1080p streaming services you wont be losing any quality in going with a native 1080p projector.
Oh- regarding those €100 region tiny 480p and worse projectors that you find dotted all over amazon... they're worthless, really they're just too dull and washed out to get any real idea of a true projectors value imo, they'll just put you off the idea of getting one, you'd be better off going to a second hand store and buying a cheap but good quality projector in the 768p range for that same price, at least you'll get a slightly better idea of what to expect from a good unit while forgoing some modern conveniences like HDMI and 16:9