Yup, positive pressure is the inexpensive way to go. Block off any large areas of extraneous venting (so your fans don't have to be overly powerful) you want to have the case as well sealed as is practical as the key is controlled air flow - I use saran wrap and clear tape as well as rope caulk (Mortite is one brand).
. You may need to pay a bit more for your fans as they will need to be adjustable over a good range as to speed (a fan controller is pretty much a requirement too) so you can run whatever you need to get the job done. The in will need to be significantly more powerful in terms of CFM to overcome the total of exhaust which includes the PSU fan and the leakage. You can test that air is coming out thru any small cracks left (and the optical drives) with a thin ply of toilet paper or a fluffy feather.
. You can't keep a negative pressure computer case clean w/o building an enclosure for it into which only filtered air is allowed. Pos. press. air also exits thru the optical and floppy drives, etc. helping to keep them clean. You may pay for the pos. pressure with temps that run a few degrees higher than otherwise, but only if you need a really quiet system. You can balance a pos. press. sytem at any air flow volume your ears can stand. I generally run fans that are capable of over 100 CFM, but cranked back until tolerable. You set the exhaust fan to the CFM required to keep your system at a safe temp, then adjust the intake fan up from there to overcome the exhaust flow plus any remaining leakage.
Some guys have built a box to hold a small, furnace-type, pleated filter and ducted the box to their intake fan with something like flexible HVAC or dryer ducting. Use sticky back, closed cell foam to make sure there is no leakage around the filter or duct connections. They do that for ease of replacement (things that aren't easy tend not to get done any more...) and filtering effectiveness.
Tips: There are often numerous small holes in the front panel of the chassis (behind the bezel) which need to be plugged some way. Slotted PCI cover plates also need plugging. The better job done plugging extraneous air exits, the less work the intake fan has to do.
. There is more Pos Press info around the web, but you'll have to provide the fact/opinion filter yourself. The concept is simple: controlled/filtered intake mostly controlled exhaust. total CFM In > total CFM Out = net positive pressure in the case.
Good luck!
.bh.