Studdering at start

Hi everyone,
I have a 1999 XJ sport. As of the past few months not only does my engine not start on the first try but it also studders at start up. After the brief studdering duration is over it runs perfectly. I think it might be a leak in one of the hoses but im still not 100% on that theory. i have not had the time to look far into it yet but the engine is well kept and i was wondering if anyone had any ideas on what it might be.
Thank you.

Fuel injector(s) leaking after shut down perhaps. A fuel pressure leak down test would confirm.

thank you very much, ill look into it.

Mine does that too. 99, xj, Engine code throws Cylinder 2 misfire, but seems to run perfect.