Do you have a hydrometer? If so, use a sanitized turkey baster to pull some of the wort out, when it's been at least two weeks on the yeast and take a reading... Then taste the sample. Give it another 2-3 days and repeat. IF it has no off flavors, and tastes really good, then plan to bottle when you can (following weekend is usually a good idea)...
Mix up your priming solution (measure the sugar by weight, factoring in the brew style, and temperature into how much sugar to use) when you mix it up. Rack the brew onto the solution and bottle. You'll want to do that within a short amount of time (an hour is usually the target form when the brew is racked onto the priming solution)... So have everything else ready before you rack.
Since you have the carboy on hand, I would suggest practicing racking between it and the bottling bucket. If you don't have an auto-siphon, I suggest getting one. It makes it a lot easier to get the transfer started.
Without knowing the OG, it's not going to be easy to figure out the ABV of the brew. With extract kits, you often come in on target, but if you added more water than it calls for, then your OG will be lower. If you added less, then it will be higher... I'm talking about quarts here, not small measures...
Pouring the wort into the bucket is how most of us started off. You should be fine with how much oxygen you introduced into the wort.
BTW, a 5 gallon glass carboy is an excellent primary for 3-4 gallon batches of either mead, cider, or hard lemonade...
I would also suggest getting another 2 primaries... That way, you'll be able to brew every two weeks (roughly)... With three in the rotation, you'll be able to leave bigger brews on the yeast for longer (as needed)... You can also use the carboy for aging brews on oak and such. If you want to dry hop a batch, do it right in the primary.
There's a lot you can do in primary these days that people would have told you to rack before doing (even a decade ago)... Look at some of Revvy's posts about long primaries... So far, I've gone up to 6 weeks on the yeast. I have two coming batches that could be on the yeast for two months (each) before going to next steps... Of course, we're talking bigger brews here, close to (or over) 1.100 for the OG...