Re-fi and HELOC on primary vs Multiple Mortgages

  With multiple things going on at once, I'm wondering if the timing of loans makes a difference.

I am speaking with one lender about doing a sequential refinance and HELOC against my primary residence.

  At the same time, I'll be in a position soon to do a 1031 exchange and purchase 3-4 properties from the sale of this single one. The properties would be cash-flowing/turnkey-type SFRs.

  My question is: does it matter which of these I do first? (Or not?) Will doing one first affect my chances at getting the other(s) done?

  Any advice would be greatly appreciated! Thanks!