If your kitchen outlets are wired as multi-wire branch circuits (MWBC), where the top and bottom outlets of each duplex receptacle are on different circuits, adding a 240 volt receptacle is extremely easy and only requires swapping out the receptacle and doesn't require any wiring or breaker changes.
The good news is that this is a fairly common configuration in older kitchens that predate GFCI requirements (because GFCI receptacles make this configuration more difficult), and it's really easy to tell if your receptacles are wired this way. All you need to do is take off the faceplate and check the right-hand (hot) side of the receptacle to see if the breakaway tab connecting the two receptacles is broken off and that there are two wires (usually red and black) connected to the screws.
These two wires should be each 120v half of your 240v split-phase service. Any one phase to neutral results in 120v, but put the two together without a neutral and you get 240v again. You should measure the voltage across the two hot wires to confirm before proceeding. This works because MWBCs already use double breakers across both phases, so instead of connecting to one of the hot wires and the neutral, you connect to both hot wires. Since you have both hot wires in the box, it's a simple job to swap out the receptacle with a 240v version. MWBCs already use a double breaker, so it's perfectly safe and code compliant to do this if your double breaker has common trip functionality (meaning that tripping one leg of the circuit will also trip the other; this is different from tied handles, which is only for maintenance safety).
If your existing receptacles are the standard 15 Amp type with two vertical slots, you would install a 240v 15A receptacle (6-15R), where both hot slots are horizontal, and install the corresponding 6-15P male plug on your 240v kettle.


If your existing outlets are 20A, you could alternatively install a 240v 20A receptacle (6-20R), where the right slot is horizontal and the left slot is vertical, and the corresponding mirror image 6-20P male plug on the kettle. (20A receptacles also accept 15A plugs, hence the T-shaped slots.)


These parts are commonly available at hardware stores, and the receptacles are available in single and duplex versions.
What is not commonly available in stores but can easily be ordered online is a combo 120v and 240v duplex receptacle, so that you don't lose both of your 120v receptacles, and so you can also satisfy code requirements of having receptacles a minimum distance apart. These combo outlets are available in different versions, either as 15A (5-15R/6-15R, pictured) or 20A (5-20R/6-20R).

GFCI
This doesn't cover GFCI protection though. I don't think 240v receptacles in kitchens generally need to be GFCI-protected by code (not verified), but if your kitchen isn't currently GFCI-protected I would either install a double GFCI breaker (if you can find one), or not worry about it. GFCI receptacles won't work with 240v unless the 240v receptacle is upstream of the GFCI devices.