If you are going to need mulch anyhow I would have the pines chipped for *that*, not for bedding. For a lot of reasons, including that it will be hard to dry that much chips or shavings (they will be very resin-y straight from the tree and it would not be a super idea to use them that way) and keep them dry.
A chipped-up live tree is different than firewood or workshop shavings, which are already fairly dry.
If you have more chippings than you know what to do with, let them sit in a big mound for a good while and they will compost down into wonderful soil amendment on the inside and still-good-for-mulch on the outside of the pile
Or, dump them a foot deep over top of some cardboard or wet newspapers on your future garden site (right on top of the weeds or grass or whatever) and leave it that way til spring, then rake off the upper uncomposted layers and till/dig the rest into the soil for your garden!
Have fun,
Pat, gradually working thru a l
arge pile that was 2 mature poplar trees before the tree service chipped 'em up -- and BOY is it great to have an essentially infinite supply of mulch!
I am using the shreds from stump-grinding as broiler chick bedding but would not do it again unless necessary.