Sometimes it's cheaper to print overseas. There are bureaux in China who will do it for you at half the price or less. You have to add the time delay for shipping, and the lack of come-back if something goes wrong. So it's best to know what you are doing. If you need some hand-holding, then best to pay the extra and use a local printer.
I had a business a few years ago (now sold) where we would print a 24- or 32-page mag every couple of months. For full-colour, 32 pages of A4 saddle-stitched (so 16 pages of A3 folded) on 80gsm paper, self-covered, it was about GBP5000 for a 6000 print run, as I recall, That was regular business, so we had some big printers competing.
For a sales brochure you might want 100gsm or 120 gsm (grams.sq. m - higher is stiffer and better and has less show-through from one page to the next)
There are some technical terms you might need:
"Perfect bound" is like some of the bigger magazines you see out there with a more or less square spine. Usually used n publications of 64-ish pages upwards
Saddle Stitched is where a pile of sheets are folded in the middle and then stapled or sewn together. It results in a rounded spine, and usually is used for 64 pages or less.
1-up; 2-up etc means the number of identical pages per sheet. So if you present the PDF to the printer as a 5-up, it means you have put 5 identical; pages onto a single sheet (which can save cost).
Bleed: no printer can position the page images perfectly on the sheet. You need to add a bleed around the edges so that if things move by a couple of millimetres, it still looks good.
4-colour / spot colour. Printers work in 4-colour separations (CMYK = cyan, magenta, yellow, black). If there are any spot colours for a specific Pantone colour, then it will add cost, making it a 5-colour or more job.
Self-covered means the same paper stock is used for the cover as the main print run.
For the paper you can get matt, silk or gloss, or varnished and it can be FSC or recycled..... You have a lot of choices.
And so on. Feel free to do a search on those terms , or ask further.