Oh, I love [name_m]George[/name_m] for a middle! [name_f][/name_f] What a special way to honor your brother.
[name_f][/name_f][name_m]Everett[/name_m] is far and away my favorite; I love [name_m]Everett[/name_m] [name_m]George[/name_m] and he fits seamlessly with [name_m]Graham[/name_m] and [name_m]Rhys[/name_m].
[name_f][/name_f][name_m]Beckham[/name_m] always seemed rather trendy because of the [name_m]David[/name_m] [name_m]Beckham[/name_m] tie, but I do love [name_m]Beck[/name_m] and find it very likable and sporty. [name_f][/name_f] Would [name_m]Beckett[/name_m] be an alternative? [name_f][/name_f] It has the -ett ending of [name_m]Everett[/name_m], works nicely with [name_m]Graham[/name_m] and [name_m]Rhys[/name_m], still gets you Becks/Becksy, but removes the potentially cringey aspects of [name_m]Beckham[/name_m]? [name_f][/name_f] I do like [name_m]Beckham[/name_m] a lot, but [name_m]David[/name_m] [name_m]Beckham[/name_m] would be my concern as well, and if it’s also a concern of yours, I think [name_m]Beckett[/name_m] would be a nice alternative.
[name_f][/name_f][name_m]Brooks[/name_m] is beautiful but invariably reminds me of [name_m]Brooks[/name_m] [name_m]Oliver[/name_m], III, from [name_f]Eloise[/name_f] at Christmastime. 
[name_f][/name_f] [name_f][/name_f] He’s a lovely name otherwise, though! [name_f][/name_f] And I love [name_m]Hudson[/name_m], but I think [name_m]Everett[/name_m] and Beckham/Beckett work a little better style-wise with your boys.
[name_f]Love[/name_f] [name_m]Everett[/name_m], though! [name_f][/name_f] I think [name_m]Graham[/name_m], [name_m]Rhys[/name_m], and [name_m]Everett[/name_m] are a perfect trio. [name_f][/name_f] 
Good luck!