do-able, but less fun - more mechanical IMO than b&w
I run a DIY mix from scratch colour set up for my personal fun in my basement darkroom. As others have noted, there are a number of variables to keep under control. I print colour infrequently- 1-2 nights every month, and a couple of marathon events over 4 or more nights about twice a year. I use drums and uniroller base, and cooler, with fish tank pump and heater to temper the chems.
When I am going to print colour: in th mrning before work, or pop home at lunch time to:
1) Mix chems - I usually have stop bath & blix pre-mixed for a few months at a time - transfer to a 1l bottles and put in cooler. Mix a litre of developer; others may just dilute a pre-made concentrate; Either way - it does not keep well, and changes its colour characteristics as it ages, so start from fresh, or don't stop once started (or freeze the dilute developer bettween sessions).
2) Get the heater and pump going, Program my process timer to suit RA-4. (Colour processing in tubes is mechanical and repetitive- a process timer to remind you where you are helps to lighten the experience for me consierably. Mine is a Vivitar unit from ages ago bought as part of a lot of *bay. It beeps to remind you to start draining, etc, notes that you are starting step 4, etc. Bottles are numbered to help tie to timer.)
3) Pull paper from the freezer, and put it in the dark drawer to warm up and be ready for after the kids are in bed.
after work - and kids to bed-
4) get a standard face and grey card ('shirley' is the trade term for this) standard neg print to print well. This gets process calibration factors known to me. I know that the paper isn't fogged, the colours are not crossed, the prints are not blue stained, etc. Viewing Filters, and a ring around poster (Kodak Darkroom dataguide had the poster) showing what pictures look like with the wrong filtration and exposure are a good starting tool.
5) Start printing. In the beginning, keep every print, and write the exposure and filter values on the back (sharpie pen after dry). Review them a day later, and they will give you skills to see where to go, and how to get there, faster, the next time you do it. Don't be surprised if the first few nights you get only one (or zero) prints out that you are satisfied with. With practice it can easily turn into one hour photo- one photo per hour that you are happy with. If there are more pictures shot in the same lighting situation, then you have your filtration from the first good print - start printing the rest, as only minor tweaks will be required.
6) after a while printing colour, think about spending some cash on a good late model analyser, like a jobo or colorstar, with multiple channels. They will make the job of getting the exposure and filtration right first faster, but come with hassles of their own. Nick Z and I have colorstars, and they are little wonders, but you need to know colour before you have the skills to know what the analyser is telling you, and where to aim and calibrate it. My colour analyser gets me to a good test print as the second print of a session. It is less of a help on big sessions once the first print of the session is good.