BA would offer the opportunity to fly the A380 if that is a consideration - and then from
LHR to
TLV you will have a choice of either a long haul 772 or a mid-haul A321: both of which have full lie flat beds and club world service. I've not flown the mid haul A321 but friends who have like the J class a lot.
One thing about the BA A380s is that their J cabin is split between the main and the upper deck so they have a smaller, more personal feel, than those A380s that have say the upper deck dedicated entirely to J.
You would arrive and depart from
LHR T5 so that would make life simpler, though do allow plenty of time for connecting as security on
TLV flights is always tight and takes longer than normal connections - but I guess that will be the same wherever you connect.
[Edited 2014-10-27 09:37:28]