The main caution as Ulter pointed out is his joints. My suggestions apply to any age but is especially important to older bros or anybody that has let themselves get very out of condition.
Pay great attention to the deep muscles, the core stabilizer groups (that support the joints) before progressing into heavy compound movements. Most older bros stabilizers lag, due to inattention or lack of athletic involvement, and if they pound the heavy movements, or jump into heavy movements too quick, this can lead to injury. Areas around the midsection, hips, and shoulders are particularly important. So rotator cuff, deep thigh and glute routines, ab work and lower back conditioning. When everything is locked in solid then you can proceed to the compound movements with confidence.
Now if one has very good natural form on the compound movements they can proceed into them faster. But if he is taller like me, or lacks good natural squatting technique, he may have some intrinsic instability which would require extra attention to this area. And as I already said, athletic instability due to loss of conditioning in the deep stabilizer muscles, tends to increase with age.
I hope that makes sense. I see some older (and younger, too) guys come into the gym trying to get started and they tend to want to progress into certain areas before they have laid the right foundation. Occasionally you see the genetic gifted athletic type that has natural structural stability and they can proceed very rapidly. But most older bros, in addition to taking time to warm-up, need to focus their core routines on redeveloping that foundation.