The primary already has fruit in it, and is in a 1 gallon vessel? How much fruit is in it? Solid fruit brewing almost always results in significant loss. Unless your primary is in probably a 1/2 gallon container, you're going to have a ton of headspace, which risks oxidation.
Pouring through cheesecloth is a massive oxidation risk. Putting a cheesecloth at the intake of an auto-siphon lowers the risk a lot, but then you have the problem of the fruit particulate clogging the pores in the fabric.
A hops spider might work better, but it's expensive and will eventually clog too.
You probably should just carefully lower the auto-siphon tip and slowly push it under the fruit, then start gently pumping so you don't agitate everything. Like I said, you're going to lose a lot in order to avoid fruit particulate and lees, but that's just reality. I use 8 lbs of fruit per gallon, so my losses average 50%.
And I shouldn't have to say this, but buy a jug of StarSan and dilute it, and sanitize literally everything that will touch your brew, including your hands.