Dwarves definitely have beards, as do Beorn and Gandalf.  I’ve included all mentions of beards here and noted specially those places (only after Chapter 11) when “beard” is used as part of a saying – a blessing (it is good for beards to grow long and full), or curse, or exclamation.

• 01.004 and smaller than the bearded Dwarves.
• 01.004 Hobbits have no beards.
• 01.007 over which his long white beard
• 01.026 with a blue beard
• 01.031 on the step with a white beard
• 01.035 said Balin with the white beard.
• 01.038 and yellow beards;
• 01.071 while the shadow of Gandalf’s beard wagged against the wall.
• 01.124 and my grandfather with singed beards.
• 02.026 as he had no beard.
• 03.010 His head and beard wagged this way and that
• 03.016 With beards all a-wagging?
• 03.018 and most of all at their beards.
• 03.027 “Don’t dip your beard
• 06.046 Thorin’s beard wagging beside him,
• 06.052 with their beards dangling down,
• 06.078 till beards blaze, and eyes glaze;
• 07.022 and a great beard.
• 07.034 Standing near was a huge man with a thick black beard
• 07.069 and bowed so low that their beards swept the stone floor.
• 07.095 and shook their beards,
• 08.088 or a bit of beard or of a hood.
• 08.107 and as for his beard,
• 10.010 in his draggled beard;
• 10.038 with beards combed
• 11.018 and tread on my beard,
• 11.026 and our beards will grow
• 11.032 and the dwarves with wagging beards watching impatiently.
• 12.004 may your beard grow ever longer,’
• 16.010 may his beard grow ever longer;
• 17.015 By the beard of Durin!
• 17.015 May his beard wither!
• 17.031 Their beards were forked
• 17.035 in their beards.
• 18.038 May your beards never grow thin!’
• 19.042 that Balin’s beard was several inches longer,