Where in the UK are you? That's an extremely high quote for no ceilings or woodwork compared to what I have just paid (£360 in Shropshire) for all upstairs ceilings, emulsion in one bedroom and everything in hall, stairs and landing (so ceilings, walls and woodwork) and the walls were in terrible state, everything was heavily nicotine stained, etc. He's done it all to an incredibly high standard. He does normally have a 6month waiting list though (he kindly managed to squeeze us in over a weekend and part of a day when he was rained off another job (my mom had pleaded for any time he could possibly spare because we have a whole house to refurbish fast).
Personally I won't do stairs because of the very high ceiling over them and I'm terrified of being more than one or two steps up a ladder
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If you want to have a go at painting for the first time start with the bedroom. You need a reasonably good paintbrush for edging (otherwise it's harder to get a clean line and you'll have bristles coming out in the paint on the wall), a full sized roller and a mini roller to get behind the radiator. You will also need some sugar soap, filler and some fine sand paper.
Start by sugar soaping wall, fill any holes and do any sanding needed.
Then edge the walls - use a brush to paint carefully along the bottom of wall from up against the skirting board to about palm width above it. Have a damp cloth on hand to wipe any mistakes straight off the skirting board. I don't use masking tape because it can allow paint to "bleed" under and ruin the edge - it's much easier to just be careful and wipe any you get on skirting board off immediately. Then do the same around door frames and paint a boarder edge in/on any corners of the room and finally when you've got used to the painting elsewhere, do the hardest bit of all - edge around the top of the wall, up to the ceiling. Really try your absolute best not to get any on the ceiling but if you do immediately (the faster the better) wipe off with damp cloth (I keep mine on top of step ladder so easy and quick to grab if I need it).
Wrap brush tightly in plastic bag or cling film when you have done this to stop it drying out when you roller/and or take a long break.
If its your first time painting or walls are in particularly bad condition, then that will probably take 1 day to do.
Then it's time to roller. When rollering it's really important not to stop during a wall. So once you've started a wall, don't have a break until you've finished that complete wall. You put paint in your tray, dip roller in and then roll it back and forth on the draining board looking side until the paint evenly coats the roller without too much on it. It took me a few attempts to get the right amount of paint on the roller too little and it won't put enough paint on the wall to cover and will be patchy but too much and it will splatter everywhere. Roller slightly onto the edging areas you painted with the brush to make sure it blends in and cover the wall.
You will probably need a second coat. So again start with edges and then roller.