Do you have Relays that can hold the contacts?

Yes, there are Latching Relays, such as those in MY2K Series General-purpose Relays.

MY2K Series Contact Rating (Check whether the specifications are suitable.)

Load Resistive load Inductive load
(cos Φ = 0.4, L/R = 7 ms)
Rated load 220 VAC 3 A
24 VDC 3 A
220 VAC 0.8 A
24 VDC 1.5 A
Rated carry current 3 A
Maximum switching voltage 250 VAC, 125 VDC
Maximum switching current 3 A 3 A
Contact mechanism Single
Contact material Gold plated + Ag

Latching Relays have a set coil to turn the Relays ON, and a reset coil to turn them OFF.

There are Latching Relays other than those in MY2K Series such as G2AK, MKK, and MMK General-purpose Relays.