Your need to fill the tires before every ride is right on! All tubes except the very thick heavy ones will need to be topped off before every ride especially the thin tubes used in road bikes, usually MTB's can be topped off every other day if it's being ridden every day. Tires have nothing to do with whether or not the bike will lose more or less air unless it's a tubeless tire, in a normal tire it's the tube that holds the air not the tire, and thus it's the tube based on thickness of the tube, and whether it's latex or butyl, will determine how much the tube will lose PSI.
The biggest question for you should be what is the correct PSI to use, so for that use this website:
http://www.dorkypantsr.us/bike-tire-pressure-calculator.html Use the second one down from the top, enter your ready to ride body weight plus your ready to ride bike weight, enter your tire size, then enter the F/R weight distrubution factor, for a slight better ride use the 45%/55% catagory, if you want performance use the 40%/60%. For MTB's use this calculator:
http://mtb.ubiqyou.com/ Both of these calculators will get you to within 5 psi plus or minus from being the optimum pressure for you and the optimum tire wear and handling.
Latex tubes do feel nicer but they are more fragile which means more flats, more difficult to repair, and of course cost more. They lose more than 10 psi in 2 days, much closer to 10 psi in 24 hours. They also should be talc, but that is true with any tube, but latex will get sticky and can get pinched flat easier if not talc'd.