The traveller sounds as if it needs cosmetic work rather than a 'resto'. Don't you have
any spare time available? I don’t have much spare time either - it took me over a year to get round to fitting some new quarter light rubbers, and a new headlining has spent over 10 years in it’s original packaging - but the way I see it is that as long as the car is roadworthy the cosmetic things aren’t a priority so can wait. Best to treat the wood quickly so that it doesn’t deteriorate but does the interior and engine bay need to be done quickly? Can’t they wait until you have a bit more time available?
New interior panels are available from most of the Minor parts suppliers such as Bull Motif, ESM etc or direct from Newton Commercial so take a look at their websites to price up how much the interior will cost. A brand new, complete interior kit for a traveller including seat covers, carpet, headlining etc is approx £1,500. Obviously it will work out a lot cheaper if you don't mind using secondhand parts.
It would only take you a couple of hours to fit a new carpet and door panels. Some on here have had 'non standard' interiors fitted by local upholsterers so it might be worth contacting some in your area for an estimate. It's possible to do a good job of cleaning up the engine bay without taking out the engine, plenty on here have done it, and it would take maybe half a day to do this. If you're not planning on trying to win prizes with the car as long as everything is kept well maintained nobody else will be looking underneath the bonnet so I wouldn't worry too much about what the engine bay looks like. Not sure how long it would take to oil or varnish the wood but hopefully someone on here will be able to advise.
With regards to the van, if your dad bought it for you to restore perhaps he will be able to give you a hand with it? Cost wise, difficult to say how much a professional resto would be but as the van needs a lot of welding, a full respray and a new interior I guess you could be looking at upwards of £15,000 for the "really nice job" that you want. It’s the labour charges that make up the bulk of the costs so best if you can do at least some of the work yourself. A full professional respray can cost upwards of £3,000, less if you do some of the prep work yourself. You might be able to get a cheap ‘blow over’ for less than £1,000.
I don’t know how much labour charges would be in your area - they’re £40 per hour and upwards in London - but if you’re set on having someone else do the work for you I suggest that you ring round and get some quotes locally as this will at least give you a ‘ballpark’ figure. Bear in mind that costs can increase significantly if more rot than expected is found, which isn’t unusual when restoring Minors. Only you know what your budget will stretch to so think things through carefully before making any decisions.
If you do decide to go for a professional restoration please take a look at this thread first for some useful advice:
http://www.mmoc.org.uk/viewtopic.php?f=1&t=41608