Me hobbyist! Me know nothing. But..
For many of the common 6mm×6mm tactile switches, standard male SMD 2×3 pin headers can be easily soldered to the same footprint, with the two center pins unused (I'd remove them altogether).
See e.g. LCSC
C780054 or
C178294, Mouser
Amphenol 10129383-906001ALF.
Of course, you only need to connect two pins (either diagonally, or next to each other, assuming typical 6x6mm 4-pad SMD tactile switches) per switch. I like to use all four pads, since it makes the pins stay put a bit better – although a dab of e.g. UV-curing glue wouldn't hurt. You can easily check this with a multimeter.
Amphenol EconoStik series of unshrouded 2.54mm header pins has an SMD version with every other SMD "leg" in the other direction; for example
Amphenol 10129380-902001ALF (Mouser). This can be cut/snapped just like normal male pin headers. Three consecutive pins, with the middle pin unused (or removed), should fit the close pair of 4-pin 6x6mm tactile button pads. This can help, if you don't want extra pins sticking out, or feel the 2×3 take too much room; but then I'd definitely use some UV-curing glue to glue the plastic shroud to the board, so I won't accidentally rip out the pads when pulling the female standard header (1x3-pin female, middle pin unused, 2.54mm pitch) out.
In either case (2x3 or 1x3 pin headers, with middle pins removed or unused), the female side is a standard 1x3 female 2.54mm terminals, also with the middle pin unused. Of course, you can also use wires with single female terminals, like female jumper wires, in pairs.
I would use standard Harwin
M20-1060300 3-pin 2.54mm pitch female terminal housings from Mouser (the image is from a 5-pin housing, but the product is the 3-pin one), with compatible
contacts (for AWG 30 to 22 wire). The wire is just crimped to the contacts (using crimping pliers). The typical crimpers for these have a ω (or rounded W) -shaped anvil (female side), with the center bit pushing the open side of the contacts into the wire, while stopping the rectangular-U cross-section contacts from widening out.
With a good crimper (no need to splurge too much; the cheap JX-1601 ones are quite okay for hobbyists like me), and a kit of Harwin (or "Dupont") male and female wire headers, you can make any other similar cables to whatever length you want.
_ _ _
If there are many buttons, you can also check which pin is the common one among all buttons, thus only needing 1+
N wires for
N tactile buttons. You can pick a suitable connector, glue it to your LCD board in a suitable place, and run wires to the button pads from the connector.
Just make sure the connector is glued so that ripping out the connector won't rip out an entire layer off the PCB.
There is minimal current running in these wires, so you can use very thin flexible wires. I like to use ribbon cables (which you can split to a suitable width from a wider cable), so I personally would prefer having a single ribbon cable between the LCD board and the buttons. Single wires tend to get snagged or pinched.